Home / 1,828.02-2,523.09-1,165.84

Finding the Fourth Proportional to 1,828.02, 2,523.09 and 1,165.84

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Solution

The fourth proportional to 1,828.02, 2,523.09 and 1,165.84 is: 1,609.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,828.02 : 2,523.09 = 1,165.84 : x
  2. Step 2: Convert to fraction form
    1,828.02/2,523.09 = 1,165.84/x
  3. Step 3: Cross multiply
    1,828.02x = 2,523.09 × 1,165.84
  4. Step 4: Simplify right side
    1,828.02x = 2,941,519.25
  5. Step 5: Solve for x
    x = 2,941,519.25/1,828.02
  6. Step 6: Final answer
    x = 1,609.13

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.